PRP Records

Probable Primes Top 10000

(225451 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 30000) Who ? When ?
600111^72989+8076011Lelio R Paula02/2015
60022^252449-45952375995Enzo Doria05/2015
600320^58408+7375991Lelio R Paula01/2015
60042^252418-142175986Yves Minet01/2013
6005(11*2^252396-1)/575980Lelio R Paula02/2014
60062^252365-11068975970Enzo Doria05/2014
600711^72949-102075969Enzo Doria11/2012
6008(2^252294+47)/654975945Lelio R Paula07/2012
60092^252261-11059575939Enzo Doria05/2014
60107^89853+7675935Lelio R Paula01/2015
60113^159132+5675926Lelio R Paula01/2015
6012730^26513+26513^73075916Norbert Schneider11/2016
6013(27*2^252163-1)/194575907Lelio R Paula01/2014
60145^108596-1484675906Enzo Doria02/2013
60155^108560-1484675881Enzo Doria02/2013
60162^252051-11035975875Enzo Doria05/2014
60172^251971-11050975851Enzo Doria05/2014
6018(42457^16384+1)/32768275819Lelio R Paula11/2011
601999655!6-275811Robert Price07/2017
602014*10^75798+108975800Jens K. Andersen11/2007
60212^251784-45575795Yves Minet03/2012
60222^251780-128975794Yves Minet01/2013
60232^251760-21560975788Paul Bourdelais03/2013
602499^37973+275781Lelio R Paula05/2013
6025(185*10^75777+7)/375779Robert Price02/2017
60265*2^251690+375767Lelio R Paula06/2014
60276^97366+9575766Lelio R Paula01/2015
6028s(23010)75760Hans Havermann11/2017
60298*6^97337-775744Lelio R Paula10/2014
60302^251588-11167775736Enzo Doria05/2014
60315^108346-1325675731Enzo Doria02/2013
6032(31^50777+1)/3275726Robert Price07/2013
6033(10^75707+77)/375707Robert Price01/2017
6034(174907#+1673)/(7*239*15467899)75700Makoto Morimoto10/2017
60352^251466+19375699Lelio R Paula03/2012
6036(5*2^251464+1)/942375695Lelio R Paula07/2012
60372^251422-10999175686Enzo Doria04/2014
60384*5^108245-375661Lelio R Paula10/2014
603912^70067-11^7006775615Jean-Louis Charton11/2006
604012^70066+9575614Lelio R Paula02/2015
6041-E20534/206375607Thomas Ritschel02/2017
604219^59120-5075600Lelio R Paula01/2015
604318^60222-469775596Enzo Doria03/2013
604418^60211-435575582Enzo Doria03/2013
60457*2^251014-975564Lelio R Paula06/2014
60466^97101-2575560Lelio R Paula01/2015
60478^83663-7^8366375556Jean-Louis Charton01/2004
60483^158331-14075544Lelio R Paula01/2015
6050(37^48157-1)/3675519Robert Price03/2012
6049(19*10^75518-43)/375519Robert Price10/2017
60512^250868-422975519Yves Minet08/2018
605210^75516+3146775517Patrick De Geest03/2016
605410^75516-10^2256-175516Serge Batalov01/2011
605310^75516-6659175516Patrick De Geest03/2016
60552^250851-18775514Lelio R Paula03/2012
6056(43*10^75498-7)/975499Robert Price12/2014
6057(3^158244-5)/24791675497Lelio R Paula06/2012
60584*5^107971-375470Lelio R Paula10/2014
6059(25*10^75465+71)/375466Robert Price01/2017
6060(5*2^250681-1)/99975461Lelio R Paula01/2014
6061(182*10^75456+1)/375458Robert Price02/2017
6062(2^250669-9)/9889772975451Lelio R Paula07/2012
606310^75441+1375442Robert Price01/2011
606410^75441-992375441Patrick De Geest05/2013
6065(27*2^250546-1)/645775420Lelio R Paula01/2014
60665*7^89231-675410Lelio R Paula10/2014
60682^250503-1699575409Lelio R Paula05/2013
606711^72411-2875409Lelio R Paula02/2015
60693*5^107860-875392Lelio R Paula10/2014
6070(34*10^75387-403)/975388Robert Price10/2017
60722^250426+2983575386Lelio R Paula05/2013
60718*3^157999-775386Lelio R Paula05/2014
6073(88*10^75381-43)/975382Robert Price11/2015
60742^250382-11175575373Enzo Doria05/2014
60752^250374-279805175371Eric Chen03/2016
6076(22*10^75368-1)/375369Robert Price12/2014
6077(19*10^75338+119)/375339Robert Price02/2017
60782^250223-185916775325Enzo Doria03/2016
6079(3^157854-7)/6602528275308Lelio R Paula06/2012
60803^157831-9875305Lelio R Paula01/2015
6081(46^45281+11^45281)/5775290Serge Batalov12/2016
608292^38335-9175282Norbert Schneider01/2016
60832^250020+1891575264Lelio R Paula05/2013
60842^250002+819375259Lelio R Paula05/2013
6085(11*2^249977-7)/1575251Renaud Lifchitz02/2011
6086(2^249968+78557)/6375247Lelio R Paula07/2012
6087(5*10^75244+91)/375245Robert Price11/2016
6088(10489!)^2+Prime(10489)75242Robert Price08/2014
608914^65644+6775237Lelio R Paula01/2015
6090(2^249928-5)/1185905975229Lelio R Paula06/2012
6091129^35638+275218Lelio R Paula05/2013
60922^249853-11047575214Enzo Doria05/2014
60932^249762+7540975186Enzo Doria04/2016
6094565^27318+27318^56575181Norbert Schneider12/2016
6095(2^249741-7)/68575177Lelio R Paula06/2012
60962^249726-11218175176Enzo Doria06/2014
60972^249721+1171575174Lelio R Paula05/2013
6098(38661^16384+1)/275158Lelio R Paula11/2011
60992^249658-4735575155Lelio R Paula05/2013
6100155^34311+275153Lelio R Paula05/2013
6101(10^87682+1)/(10^12526+1)/99009900990175145Maksym Voznyy06/2015
6102(23*2^249602+1)/9375138Lelio R Paula08/2012
61032^249522+841575114Lelio R Paula05/2013
61042^249489-11091175104Enzo Doria05/2014
6105(28*10^75078+131)/375079Robert Price02/2017
6106(206*10^75073-17)/975075Robert Price03/2017
61072^249368-11057375068Enzo Doria05/2014
6108NaturalLogarithmOf10(75067)75067Eric W. Weisstein10/2015
6109(2^249375+78557)/4505612575062Lelio R Paula07/2012
6110(26*10^75055-173)/375056Robert Price10/2017
61112^249272+19375039Lelio R Paula03/2012
611214^65468+4375035Lelio R Paula01/2015
611337^47844+3675030Norbert Schneider05/2014
6114(52*10^75027-7)/975028Robert Price12/2014
611520^57653+8975009Lelio R Paula01/2015
61162^249061-186835374975Enzo Doria04/2016
61177^88713+2*3^8871374972Mike Oakes07/2010
61182*6^96313+574947Lelio R Paula10/2014
6119(8*10^74944+49)/374945Robert Price03/2016
6120300^30247+30247^30074926Norbert Schneider11/2014
61212^248866-17174917Lelio R Paula03/2012
61226*5^107168-774908Lelio R Paula10/2014
612311^71926+7874904Lelio R Paula02/2015
61242^248824+186939174904Enzo Doria05/2016
61252^248816+111174902Lelio R Paula01/2011
6126V(388219)74890Serge Batalov03/2015
61272*F(358297)-174880Henri Lifchitz12/2009
6128(22*10^74874-31)/974875Robert Price04/2015
612911^71892-7680000074868Enzo Doria01/2013
61309*5^107107-474866Lelio R Paula10/2014
61312^248678-71011174860Paul Bourdelais03/2013
6132(14*10^74858+211)/974859Robert Price11/2017
613313^67194+1274851Lelio R Paula01/2015
6134(7*2^248634+1)/7174846Lelio R Paula08/2012
613511^71867-309074842Enzo Doria12/2012
61362^248609+26214574839Lelio R Paula05/2013
61373^156852+5074838Lelio R Paula01/2015
613818^59607-1174824Lelio R Paula01/2015
61392^248556-11050774823Enzo Doria05/2014
61407^88531-3674818Lelio R Paula01/2015
6141p(15738)#/2+102474814Robert Price07/2017
61424*3^156740-574785Lelio R Paula05/2014
6143(32*10^74773-41)/974774Robert Price05/2015
6144(29*2^248384-1)/1374772Lelio R Paula01/2014
614519401!+19401#+174765D. Gazzoni Filho & Lucas Teixeira06/2005
61462^248357-1279741374763Enzo Doria03/2016
614742^46057+4174762Lelio R Paula07/2012
614811^71784-300074756Enzo Doria12/2012
614919^58458+1874754Lelio R Paula01/2015
615012^69265-3574750Lelio R Paula02/2015
615111^71771-4800074742Enzo Doria12/2012
6152(7*10^74741+197)/374742Robert Price07/2017
6153(2^248282-5)/5012974736Lelio R Paula06/2012
61542^248252-11010574732Enzo Doria04/2014
6155(7*10^74729+71)/374730Robert Price03/2016
61563^156614-5074724Lelio R Paula01/2015
6157(7*2^248213+1)/13574719Lelio R Paula07/2012
6158(2^248173+78557)/76774705Lelio R Paula07/2012
6159125^35622+12474697Norbert Schneider02/2015
6160(19*2^248099-1)/2974686Lelio R Paula01/2014
6161(86*10^74676-41)/974677Robert Price11/2015
6162(p(15711)#-4)/274672Robert Price09/2017
616310^74670+3174671Robert Price01/2011
616410^74670-12246374670Patrick De Geest05/2013
61652^248036-6974667Lelio R Paula03/2012
616611^71698-600074666Enzo Doria12/2012
616758*(10^(3*24887)-1)/111-174661Robert Price10/2014
616814^65139-4574658Lelio R Paula01/2015
61696^95921-13374642Lelio R Paula01/2015
617011^71675+7874642Lelio R Paula02/2015
617118^59449-9174625Lelio R Paula01/2015
61726^95864-1604374597Enzo Doria02/2013
61735*7^88261+674590Lelio R Paula10/2014
61749*5^106710+474589Lelio R Paula10/2014
6175(777*2^247788+1)/(11*754121)74588Jens K. Andersen09/2007
6176(265*10^74579+17)/374581Robert Price05/2016
6177(2^247759-1017)/331831171774574Lelio R Paula07/2012
61785^106682-2474568Lelio R Paula08/2014
6179474^27863+27863^47474556Norbert Schneider01/2017
6180(14*10^74540+79)/374541Robert Price11/2017
6181(35365^16384+1)/274524Lelio R Paula11/2011
61823^156161+266074508Lelio R Paula01/2015
61832^247474-5869574498Lelio R Paula05/2013
618411^71519-9074480Enzo Doria07/2012
6185(19*2^247419-1)/2320298374475Lelio R Paula01/2014
6187(2^247394-7)/374473Lelio R Paula06/2012
618618^59328+1774473Lelio R Paula01/2015
61882^247379-18174469Lelio R Paula03/2012
6189(15*2^247370-1)/47974465Lelio R Paula01/2014
61902^247344+204774458Lelio R Paula05/2013
61912^247311-101774449Lelio R Paula05/2013
61922^247280+774439Lelio R Paula03/2012
6193(68*10^74434+13)/974435Ray Chandler11/2010
61943^156004-6274433Lelio R Paula01/2015
619536095!2-6474416Robert Price06/2015
61962^247165-374405M. Frind & P. Underwood07/2002
61972^247150+3276974400Lelio R Paula05/2013
619812^68911+7374368Lelio R Paula01/2015
61992^246999+7490374355Enzo Doria04/2016
62002^246989-11064374352Enzo Doria05/2014
620110^74350+27943974351Patrick De Geest07/2017
6204(10^74350+11)/374350Robert Price11/2014
620210^74350-40000000174350Robert Price07/2017
620310^74350-71624174350Patrick De Geest07/2017
620510^74335+1365974336Patrick De Geest05/2013
620610^74335-5374335Robert Price05/2011
62072^246906-121574327Lelio R Paula05/2013
62082^246848+11174309Lelio R Paula03/2012
62096^95490-1844374306Enzo Doria03/2013
621018^59188-236974298Enzo Doria03/2013
6211(1363*2^246767+1)/(3*5*7*13^2*743)74281Jens K. Andersen09/2007
62122^246744+4075574278Lelio R Paula05/2013
6213(29*10^74276+91)/374277Robert Price03/2016
62146^95441+16374268Lelio R Paula01/2015
6215V(390863)74258Serge Batalov03/2015
621610^74254+9174255Robert Price03/2011
6218(19*10^74253-1)/974254Ray Chandler02/2012
621710^74254-13056974254Patrick De Geest05/2013
6219771^25718+25718^77174250Norbert Schneider10/2016
62202^246618+42774240Henri Lifchitz02/2005
622188*10^74234+374236Robert Price11/2016
62228*10^74234-4974235Robert Price04/2016
62232^246578+1228574228Lelio R Paula05/2013
6224(3^155569-5)/274225Lelio R Paula06/2012
622513^66628+4674220Lelio R Paula01/2015
62262^246476-1729574197Lelio R Paula05/2013
6227(61*10^74189-1)/374191Robert Price11/2017
6228(15185*2^246432-1)/1374187Lelio R Paula04/2015
62295*2^246413-374179Lelio R Paula05/2014
62302^246386-2863574170Lelio R Paula05/2013
62312^246334-11124574154Enzo Doria05/2014
62323*9^77708+7^77708-2*4^77708-374153Mike Oakes12/2010
623315^63045+8274147Lelio R Paula01/2015
623419255!+19255#+174140D. Gazzoni Filho & Lucas Teixeira06/2005
62352^246268-11050774135Enzo Doria05/2014
62363^155328+266074111Lelio R Paula01/2015
62372^246148-278624974098Enzo Doria03/2016
6238(16*10^74092-19)/374093Robert Price03/2016
62392^246115-11076774088Enzo Doria05/2014
62407^87666-6874087Lelio R Paula08/2014
624110^74079+114514191974080Marisa Kirisame03/2015
624210^74079+621974080Patrick De Geest03/2016
624310^74079-28270774079Patrick De Geest03/2016
6244129^35098+274078Lelio R Paula05/2013
62452^246025-11212374061Enzo Doria06/2014
6246(67*10^74045+17)/374047Robert Price02/2017
62472^245823+6683174001Marek Hubal02/2017
62485^105869+4274000Lelio R Paula08/2014
6249(21*2^245806+1)/63455573991Lelio R Paula08/2012
6250(22699*2^245762+1)/11973985Lelio R Paula06/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 20 2018 23:15 (Time in France)

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